Finding the Third Proportional to 354,856 and 510,085

Step by Step Solution

1. Step 1: Write the proportion equation
   354,856 : 510,085 = 510,085 : x
2. Step 2: Convert to fraction form
   354,856/510,085 = 510,085/x
3. Step 3: Cross multiply
   354,856x = 510,085 × 510,085
4. Step 4: Simplify right side
   354,856x = 260,186,707,225
5. Step 5: Solve for x
   x = 260,186,707,225/354,856
6. Step 6: Final answer
   x = 733,217.72